On Charged Black Holes in Anti-de Sitter Space

TL;DR

This paper investigates the internal structure of charged black holes in five-dimensional anti-de Sitter space using two-sided correlators, revealing that these correlators are surprisingly stable against inner horizon instabilities.

Contribution

It provides an exact analysis of perturbed charged black holes in AdS space and shows that two-sided correlators probe the region between horizons without instability effects.

Findings

Correlators penetrate the horizon and remain stable.

Perturbed spacetimes are exactly solvable.

Inner horizon instability appears to be avoided in correlator behavior.

Abstract

We study the region inside the event horizon of charged black holes in five dimensional asymptotically anti-de Sitter space, using as a probe two-sided correlators which are dominated by spacelike geodesics penetrating the horizon. The spacetimes we investigate include the Reissner-Nordstrom black hole and perturbations thereof. The perturbed spacetimes can be found exactly, enabling us to perform a local scan of the region between the inner and outer horizons. Surprisingly, the two-sided correlators we calculate seem to be geometrically protected from the instability of the inner horizon.